The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x ?
Correct answer: B. x ≥ 6n − 12
- A. x ≤ 6n − 12
- B. x ≥ 6n − 12
- C. x ≤ 12 − 6n
- D. x ≥ 12 − 6n
Explanation
The correct answer is Choice B: x ≥ 6n − 12. The problem states that the minimum value of x is 12 less than 6 times another number n. Translating this into an inequality, we get x must be greater than or equal to (6n - 12). Choices A and C are incorrect because they reverse the role of the minimum and maximum values. Choice D is incorrect because it incorrectly positions the number 12 and the term 6n in the inequality, suggesting a different relationship than what is stated in the problem.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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